Calculus IV Fake Quiz 1 Spring 1999 3/3/99

 
 

1. Compute .
 
 

2. Compute , where E is the region bounded by the cylinder y2 + z2 = 9 and the planes x=0, y=3x, and z=0 in the first quadrant.
 
 

3. Write as a triple integral and compute the volume of the region bounded by y = 0, z = 0, and z = 9 - x2 - y.